Algebra 1 - Functions & Graphing
A line is the graph of the equation 3x - 4y = 8. Find the slope.
3/4
A line with equation 3x - 7y = 14. What is the slope of this line?
3/7
Write an equation in standard form of the line passing through (1,-1) with slope -4.
4x + y = 3
The time Laura takes to write a report is directly proportional to the length of the report. If it takes Laura 2 hours to write a 300 word report, how long will she take to write a 750 word report?
5
The time it takes the Ajax Cleaning Company to clean an office building each night varies inversely with the number of employees who report for work. If 6 employees can clean the building in 8 hours, how many employees would be needed to complete the job in 6 hours?
8
Write an equation in slope-intercept form of the line with slope 1/2 and y-intercept of -3.
y = 1/2x - 3
Solve 2x - 3y = 9 for y in terms of x
y = 2/3x - 3
Solve 3x - 2y = 4 for y in terms of x
y = 3/2x - 2
A line with equation 3x - 7y = 14. Write in slope intercept form
y = 3/7x - 2
Write an equation in standard form of the line passing through (2,-5) and (-4,7)
2x + y = -1
Which ordered pair is a solution of 4x - 3y = 1? (2,3) (-2,-3) (3,2) (-3,-2) (-2,3)
(-2,-3)
Solve 2x + y = 5 if x and y are whole numbers
(0,5), (1,3), (2,1)
Solve 3x + y = 7
(0,7), (1,4), (2,1)
A line is the graph of the equation 3x - 4y = 8. Find the y-intercept
-2
A line with equation 3x - 7y = 14. What is the y-intercept of the line?
-2
Find the slope of the line through the points (3,-4) and (-5,2)
-3/4
Find x if (x,7) and (21,-3) are ordered pairs in the same inverse variation
-9
Function of (1,8), (2,3), (3,5), (4,0), (5,9). What is the range?
0,3,5,8,9
Function of (1,8), (2,3), (3,5), (4,0), (5,9). What is the Domain?
1,2,3,4,5
Find y if (-6, -18) and (5,y) are ordered pairs in the same direct variation
15
Find the slope of the line whose equation is 2x - 3y = 6
2/3
Which one does NOT describe the slope of a line? A. Rise / Run B. vertical change / horizontal change C. difference between y-coordinates / difference between x-coordinates D. y2 - y1 / x2 - x1 E. x2 - x1 / y2 - y1
E
True or False: (3, -1) is in the second quadrant
False
True or False: Horizontal lines have no slope.
False
True or False: The abscissa of (2, -5) is -5
False
True or False: The equation of the horizontal line passing through (3, -2) is x = -2
False
True or False: The graph of x + y = 3 crosses the x-axis at (0,3)
False
True or False: The graph of x = 4 is a horizontal line
False
True or False: The ordered pairs (2,3) and (3,2) are the same
False
True or False: The point with coordinates (1, -2) is on the graph of 3x - 2y = 1
False
True or False: The slope of every vertical line is 0.
False
True or False: The standard form of y = -2/3x + 1 is 2x + 3y = 1
False
True or False: x = 3 is solution of 4x - 3y = 12
False
True or False: y = 2x + 3 is a linear equation in standard form
False
True or False: y = 3/4x + 2 and y = 3/4x - 3 have different slopes.
False
True or False: (-1,-6) is a solution of 4x - y = 2
True
True or False: (3,2) is a solution of 3x - 2y = 5
True
True or False: 2x - y = 3 is a linear equation in standard form
True
True or False: 3x - 2y = 5 is an equation containing 2 variables
True
True or False: 3x - y = 4 and y = 3x - 4 are equivalent
True
True or False: 4x + y = 3 and y = -4x + 3 are equivalent
True
True or False: If x < 0 and y < 0, then the point P(x, y) is in the third quadrant
True
True or False: Points that lie on same line are collinear
True
True or False: The equation of the y-axis is x = 0
True
True or False: The graph of 2x - 3y = 6 is a line
True
True or False: The graph of x = 0 is the y-axis
True
True or False: The graph of y = 3x passes through the origin
True
True or False: The point with coordinates (4,3) is in the graph of 2x + 3y = 17
True
True or False: The slope of a line is constant on a line.
True
True or False: The slope of y = 3x -2 is 3
True
